430342242120 has 256 divisors, whose sum is σ = 1656302860800. Its totient is φ = 97349713920.

The previous prime is 430342242119. The next prime is 430342242131. The reversal of 430342242120 is 21242243034.

430342242120 is a `hidden beast` number, since 430 + 3 + 4 + 224 + 2 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439900 + ... + 1026740.

It is an arithmetic number, because the mean of its divisors is an integer number (6469933050).

Almost surely, 2^430342242120 is an apocalyptic number.

430342242120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430342242120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828151430400).

430342242120 is an abundant number, since it is smaller than the sum of its proper divisors (1225960618680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

430342242120 is a wasteful number, since it uses less digits than its factorization.

430342242120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586965 (or 586955 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 430342242120 its reverse (21242243034), we get a palindrome (451584485154).

The spelling of 430342242120 in words is "four hundred thirty billion, three hundred forty-two million, two hundred forty-two thousand, one hundred twenty".